The L-function associated to a Maass form on \(SL(3,Z)\) satisfies
a functional equation of the form

<p>
\begin{align}
    \Lambda(s) =&  \pi^{-3s/2}
\Gamma\left(\frac{s}{2} + \mu_1 i\right)
\Gamma\left(\frac{s}{2} + \mu_2 i\right)
\Gamma\left(\frac{s}{2} - (\mu_1 +\mu_2) i\right)
 L(s)\cr
=& \overline{\Lambda(1 - \bar{s})},
\end{align}
<p>
where the \(\mu_j\) are real.  By relabeling, rearranging, and
conjugating, we may assume \(0\le \mu_2 \le \mu_1\).

<p>
Note:  a better normalization replaces our \(\mu_j\) by
\(2\mu_j\).  We are in the process of converting our data.
<p>


The plot below shows the first several of these L-functions,
where we place a dot at coordinates \((\mu_1,\mu_2)\).
<p>
 Mouse over a dot to see the eigenvalues, or click on a dot to find out more about the L-function.
<br>
(Should work in Firefox or Explorer.)

<p>

<img src ="/static/images/gl3eigs.png" width="750" height="472" alt="GL3 eigenvalues" usemap ="#gl3map" border=0/>

<map name="gl3map">
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